Some optimal designs for comparing a set of test treatments with a set of controls

DOI10.1007/BF00050788zbMath0703.62074OpenAlexW2026578280MaRDI QIDQ916281

Michael A. Jacroux

Publication date: 1990

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00050788

zbMATH Keywords

controlstest treatmentsA-optimal designs0-way elimination of heterogeneity modelA(c)-optimal designsMV- optimalMV(c)-optimal designs

Mathematics Subject Classification ID

Optimal statistical designs (62K05)

Related Items (11)

Some MV-optimal group divisible type block designs for comparing a set of test treatments with a set of standard treatments ⋮ Optimal approximate designs for estimating treatment contrasts resistant to nuisance effects ⋮ Optimal allocation for comparing \(k\) test treatments to positive and negative control with unequal weighting under A-optimality and MV-optimality ⋮ On the determination and construction of optimal designs for comparing a set of test treatments with a set of controls in the presence of a linear trend ⋮ Trend resistant balanced bipartite block designs ⋮ Optimal and efficient designs for comparing a set of test treatments with a set of controls in a heteroscedastic one-way layout with covariates ⋮ Nonparametric multiple comparisons with more than one control ⋮ Weighted A-optimal block designs for comparing test treatments with controls with unequal precision ⋮ On the determination and construction of \(A\)- and \(MV\)-optimal block designs for comparing a set of test treatments to a set of standard treatments ⋮ Comparing more than one treatment to more than one control in incomplete blocks ⋮ Weighted A-efficiency of block designs for making treatment-control and treatment-treatment comparisons

Cites Work

• A-Optimal Incomplete Block Designs for Control-Test Treatment Comparisons
• Optimal designs for treatment-control comparisons in the presence of two- way heterogeneity
• Families of A-optimal block designs for comparing test treatments with a control
• On the determination and construction of MV-optimal block designs for comparing test treatments with a standard treatment
• Optimal designs for comparisons between two sets of treatments
• On the usage of refined linear models for determining N-way classification designs which are optimal for comparing test treatments with a standard treatment
• A-optimal block designs for comparing test treatments with a control
• Optimal designs for comparing test treatments with controls. With comments and a rejoinder by the authors
• Optimal incomplete block designs for comparing treatments with a control
• Optimal Step-Type Designs for Comparing Test Treatments With a Control
• Incomplete Block Designs for Comparing Treatments with a Control: General Theory
• The A-Optimality of Block Designs for Comparing Test Treatments with a Control

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